I am interested in number theory, probabilistic methods, combinatorics, and computational complexity theory. This list is by no means extensive.
List of write-ups and publications:
-Results for distinct covering systems with a prime minimum modulus q \geq 11, with Michael Filaseta and Alexandros Kalogirou, Submitted
-Covering systems where all the prime divisors are 2, 3, or 5, with Joshua Harrington, Joshua Lowrance, and Ognian Trifonov, Submitted
-On a conjecture of Krukenberg and a problem of Dalton and Trifonov, Integers 26 (2026), #A38
-On extreme values of r_3(n) in arithmetic progressions, with Michael Filaseta and Cihan Sabuncu, The Ramanujan Journal 69 (2), 42
-On the j-th smallest modulus of a covering system with distinct moduli, with Dimitris Koukoulopoulos and Simon Lemieux, International Journal of Number Theory 20 (02), 471-479
-Covering systems, Master's thesis, Université de Montréal, under the supervision of Prof. Dimitris Koukoulopoulos
-À la découverte des systèmes couvrants, with Simon Lemieux, Undergraduate research thesis, Université de Montréal, under the supervision of Prof. Dimitris Koukoulopoulos
List of journals for which I have refereed:
-Proceeding of the American Mathematical Society
-Journal of Number Theory (x2)